Joint Normalization and Dimensionality Reduction on Grassmannian: A Generalized Perspective

CORC > 沈阳自动化研究所 > 中国科学院沈阳自动化研究所 > 水下机器人研究室

	Joint Normalization and Dimensionality Reduction on Grassmannian: A Generalized Perspective
	Liu YP(刘云鹏); Liu TC(刘天赐); Shi ZL(史泽林); Shi XB(史兴波); Ceng JB(曾俊宝)
刊名	IEEE Signal Processing Letters
	2018
卷号	25 期号:6 页码:858-862
关键词	image-set recognition Grassmann manifold dimensionality reduction Grassmannian optimization
ISSN号	1070-9908
通讯作者	Liu TC(刘天赐)
产权排序	1
中文摘要	This paper proposes a generalized framework with joint normalization that learns lower-dimensional subspaces with maximum discriminative power by using Riemannian geometry. We model the similarity/dissimilarity between subspaces using various metrics defined on Grassmannian and formulate dimensionality reduction as a non-linear constraint optimization problem considering the orthogonalization. To obtain the linear mapping, we derive the components required to perform Riemannian optimization from the original Grassmannian through an orthonormal projection. We respect the Riemannian geometry of the Grassmann manifold and search for this projection directly from one Grassmann manifold to another face-to-face without any additional transformations. In this natural geometry-aware approach, any metric on the Grassmann manifold can theoretically reside in our model . We combine five metrics with our model, and the learning process is treated as an unconstrained optimization problem on a Grassmann manifold. Experiments on several datasets demonstrate that our approach leads to a significant accuracy gain over state-of-the-art methods.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Engineering, Electrical & Electronic
研究领域[WOS]	Engineering
关键词[WOS]	RECOGNITION ; MANIFOLDS ; GEOMETRY
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000432030000001
内容类型	期刊论文
源URL	[http://ir.sia.cn/handle/173321/21851]
专题	沈阳自动化研究所_水下机器人研究室
通讯作者	Shi XB(史兴波)
作者单位	Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016； University of Chinese Academy of Sciences, Beijing 100049； Key Laboratory of Opto-Electronic Information Processing, CAS, Shenyang 110016
推荐引用方式 GB/T 7714	Liu YP,Liu TC,Shi ZL,et al. Joint Normalization and Dimensionality Reduction on Grassmannian: A Generalized Perspective[J]. IEEE Signal Processing Letters,2018,25(6):858-862.
APA	Liu YP,Liu TC,Shi ZL,史兴波,&曾俊宝.(2018).Joint Normalization and Dimensionality Reduction on Grassmannian: A Generalized Perspective.IEEE Signal Processing Letters,25(6),858-862.
MLA	Liu YP,et al."Joint Normalization and Dimensionality Reduction on Grassmannian: A Generalized Perspective".IEEE Signal Processing Letters 25.6(2018):858-862.